Question

The distributive property allows you to say that 3(x-1) = 3x - __________.

a) -1
b) -3
c) 1
d) 3

Answer 1

(b) - 3

Step-by-step explanation:

the distributive property is defined as

a(b + c) = ab + ac

That is each term inside the parenthesis is multiplied by the value outside

Then

3(x - 1)

= 3 × x + 3 × - 1

= 3x - 3

Answer 2

The distributive property of multiplication over subtraction leads to 3(x - 1) being equal to 3x - 3.

Step-by-step explanation:

The distributive property in mathematics allows you to multiply a single term by each of the terms inside a set of parentheses. Applying this property to 3(x - 1) means you multiply 3 by x and also multiply 3 by -1. Therefore, when you distribute 3 over the subtraction inside the parentheses, you get 3x - 3. So, the correct answer to fill in the blank is '3', which corresponds to answer choice (d).